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                  414                               Corporate Finance                      BRILLIANT’S


                  Solution:
                      (a) Calculation of Pay-Back Period

                         Year                  Machine A                         Machine B
                                           C.I.        Cumulative C.I.       C.I.             Cumulative C.I.
                                            (`)              (`)             (`)              (`)
                           1              50,000             50,000        20,000              20,000
                           2              40,000             90,000        30,000              50,000
                           3              30,000          1,20,000         50,000           1,00,000
                           4              20,000          1,40,000         40,000           1,40,000
                           5              20,000          1,60,000         40,000           1,80,000

                                       P.B.P. for Machine A = 3 yrs.
                                                               20,000 12
                                        P.B.P. for Machine B = 3 yrs. +    = 3 yrs. 6 months
                                                                 40,000
                      On the basis of pay-back period, Machine A is preferable.
                      (b) Post Pay-Back Profitability
                      Machine A :        1,60,000 – 1,20,000 = ` 40,000
                      Machine B:         1,80,000 – 1,20,000 = ` 60,000
                                                   A                                  B
                                               40,000 100                        60,000 100
                      Index of P.P.B. Profit
                                                1,20,000                           1,20,000
                                                =  33 1  %                          = 50%
                                                     3
                      On the basis of post pay-back profitability, Machine B is preferable.
                   Illustration 5.1.3
                      A company is evaluating a proposal to acquire a new plant for its production department.
                  The cost of the plant is ` 4,50,000. The plant has a useful life of 10 years and is expected to yield an
                  annual profit of ` 75,000 after depreciation but before tax. Depreciation is charged @ 10 percent on
                  straight line basis. Tax rate 40%. Compute the Pay-back Period.
                      EH$ H§$nZr BgHo$ àmoS>³eZ {S>nmQ>©‘|Q> Ho$ {bE EH$ Z¶m ßbm§Q> E³dm¶a H$aZo Ho$ {bE EH$ àñVmd H$m ‘yë¶m§H$Z H$aVr
                  h¡& ßbm§Q> H$s bmJV < 4,50,000 h¡& ßbm§Q> H$m Cn¶moJr OrdZ 10 dfm] H$m h¡ VWm S>o{à{eEeZ Ho$ ~mX {H$ÝVw Q>¡³g Ho$
                  nhbo < 75,000 dm{f©H$ bm^ CËnÝZ H$aZo H$s Anojm h¡& S>o[à{eEeZ ñQ´>oQ> bmBZ AmYma na 10% bJm¶m J¶m h¡& Q>¡³g
                  aoQ> 40% h¡& no-~¡H$ nr[a¶S> H$s JUZm H$s{OE&
                  Solution:
                      Calculation of Annual Cash Flows:                                             (`)
                      Pre-Tax Profits                                                            75,000
                      Less : Tax @ 40%                                                           30,000
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